At a game of billiards, A can give B 15 points in 60 and A can give C…

The correct answer is Option (2) → 20 points

“A can give B 15 points in 60” means that when A scores 60, B scores 60 − 15 = 45. Similarly, when A scores 60, C scores 40.

    \( \displaystyle A:B=60:45 \)
    \( \displaystyle A:C=60:40 \)

So when B scores 45, C scores 40:

    \( \displaystyle \frac{C}{B}=\frac{40}{45}=\frac{8}{9} \)

In a game of 180, when B scores 180,

    \( \displaystyle C=180\times\frac{8}{9}=160 \)

    \( \displaystyle \text{B can give C}\ 180-160=20\ \text{points} \)